A spring hangs from the ceiling with an unstretched length of xo = 0.67 m. A m = 5.5 kg block is hung from the spring, causing the spring to stretch to a length x1 = 0.90 m. Find the length x2 of the spring when a m2 = 3.3 kg block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made. m, X2 = m,

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A spring hangs from the ceiling with an unstretched length of \( x_0 = 0.67 \, \text{m} \). A \( m_1 = 5.5 \, \text{kg} \) block is hung from the spring, causing the spring to stretch to a length \( x_1 = 0.90 \, \text{m} \).

Find the length \( x_2 \) of the spring when a \( m_2 = 3.3 \, \text{kg} \) block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made.

Diagram Explanation:
- The first illustration on the left shows the spring hanging vertically with no weight attached, measuring an unstretched length of \( x_0 \).
- The middle illustration demonstrates the spring with a block of mass \( m_1 \) attached, displaying a stretched length of \( x_1 \).
- The right illustration depicts the spring with a second block of mass \( m_2 \) attached, indicating the new length \( x_2 \).

\[ x_2 = \quad \text{m} \]
Transcribed Image Text:A spring hangs from the ceiling with an unstretched length of \( x_0 = 0.67 \, \text{m} \). A \( m_1 = 5.5 \, \text{kg} \) block is hung from the spring, causing the spring to stretch to a length \( x_1 = 0.90 \, \text{m} \). Find the length \( x_2 \) of the spring when a \( m_2 = 3.3 \, \text{kg} \) block is hung from the spring. For both cases, all vibrations of the spring are allowed to settle down before any measurements are made. Diagram Explanation: - The first illustration on the left shows the spring hanging vertically with no weight attached, measuring an unstretched length of \( x_0 \). - The middle illustration demonstrates the spring with a block of mass \( m_1 \) attached, displaying a stretched length of \( x_1 \). - The right illustration depicts the spring with a second block of mass \( m_2 \) attached, indicating the new length \( x_2 \). \[ x_2 = \quad \text{m} \]
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